Disputas: Vegard Vinje

M.Sc. Vegard Vinje ved Matematisk institutt vil forsvare sin avhandling for graden ph.d.

Mathematical Modeling of Cerebrospinal Fluid Pulsatility and Pathways 


Bildet av kandidaten.

Vegard Vinje

Tid og sted for prøveforelesning

20. september 2019 kl. 10.15, "Abels utsikt", 12. etasje, Niels Henrik Abels hus.


  • Senior Associate Scientist Diane de Zélicourt, University of Zürich

  • Assistant Professor Olivier Balédent, Université de Picardie Jules Verne

  • Associate Professor Ulrik Skre Fjordholm, Universitetet i Oslo

Leder av disputas

Professor Hans Brodersen, Matematisk institutt, Universitet i Oslo


  • Chief research scientist Marie Elisabeth Rognes, Simula Research Laboratory

  • Professor Yiannis Ventikos, University College London

  • Professor Kent-Andre Mardal, Matematisk institutt, Universitet i Oslo


Newer theories suggest waste are cleared from the brain by cerebrospinal fluid flushing through the brain. The accumulation of certain waste products within the brain is associated with Alzheimer’s disease. Therefore, the mechanism of which the brain gets rid of waste may be important to properly understand the progression of neurodegenerative diseases. In this thesis I investigated theories of waste clearance from the brain using mathematical models.

The total volume of the cerebrospinal fluid around the brain is around 150 mL and it is produced and absorbed at a rate of 500 mL per day. In addition to the slow steady production, heart pulsations and respiration are drivers of cerebrospinal fluid flow. A few years ago, sleep was also proposed to cause a significant increase of cerebrospinal fluid flow into the brain increasing waste clearance.

In this thesis I consider all the different time scales on which the cerebrospinal fluid pulsates (i.e. steady flow, heart pulsations and respiration). I showed that cerebrospinal fluid movement caused by heart pulsations may cause movement of the spinal cord in disease. Next, I quantified the effect of respiration on fluid flow in the brain using Navier-Stokes equation of fluid flow with pressure measurements as input data. In addition, I have investigated other transport mechanisms (such as diffusion) and outflow pathways (such as exchange between cerebrospinal fluid and blood).

I conclude that fluid flow in the brain is necessary to explain tracer transportation to the brain as seen in MRI data, and that respiration may be an important driver for this flow.

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Publisert 2. sep. 2019 15:26 - Sist endret 5. sep. 2019 16:29